Co-H-Spaces and Almost Localization
2014 ◽
Vol 58
(2)
◽
pp. 323-332
Keyword(s):
AbstractApart from simply connected spaces, a non-simply connected co-H-space is a typical example of a space X with a coaction of Bπ1 (X) along rX: X → Bπ1 (X), the classifying map of the universal covering. If such a space X is actually a co-H-space, then the fibrewise p-localization of rX (or the ‘almost’ p-localization of X) is a fibrewise co-H-space (or an ‘almost’ co-H-space, respectively) for every prime p. In this paper, we show that the converse statement is true, i.e. for a non-simply connected space X with a coaction of Bπ1 (X) along rX, X is a co-H-space if, for every prime p, the almost p-localization of X is an almost co-H-space.
1992 ◽
Vol 122
(1-2)
◽
pp. 127-135
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Keyword(s):
2004 ◽
Vol 20
(6)
◽
pp. 1131-1134
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2014 ◽
Vol 58
(1)
◽
pp. 27-32
1992 ◽
Vol 34
(3)
◽
pp. 379-394
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Keyword(s):
1988 ◽
Vol 30
(3)
◽
pp. 331-337
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